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Finding the Fourth Proportional to 3,132, 4,700.28 and 1,401.12

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Solution

The fourth proportional to 3,132, 4,700.28 and 1,401.12 is: 2,102.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132 : 4,700.28 = 1,401.12 : x
  2. Step 2: Convert to fraction form
    3,132/4,700.28 = 1,401.12/x
  3. Step 3: Cross multiply
    3,132x = 4,700.28 × 1,401.12
  4. Step 4: Simplify right side
    3,132x = 6,585,656.31
  5. Step 5: Solve for x
    x = 6,585,656.31/3,132
  6. Step 6: Final answer
    x = 2,102.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.